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Standard XI

Economics

Shapes of Total Cost Curves in the Short Run

32. Let a,b,c...

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32. Let a,b,c are three non zero vectors such that any two of them are non-collinear. If a+b is collinear with c and b+c is collinear with a, then value of a+b+c equals

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Q. Let

\to a, \to b, \to c

are three non zero vectors such that any two of them are non-collinear. If

\to a + \to b

is collinear with

\to c

and

\to b + \to c

is collinear with

\to a

, then the value of

\to a + \to b + \to c

equals

¯ a, ¯ b, ¯ c

are three non-zero vectors such that any two of them are non-collinear. If

¯ a + ¯ b

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¯ b + ¯ c

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¯ a

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Q. Let

a

b

and

c

be three non-zero vectors such that no two of these are collinear. if the vectors

a + 2 b

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c

and

b + 3 c

is collinear with

a

.then

a + 2 b + 6 c

is equal to :

Let $\to a, \to b$ and $\to c$ be three non -zero vectors such that they are mutually non collinear. If the vector $\to a + 2 \to b$ is collinear with $\to c$ and $\to b + 3 \to c$ is collinear with $\to a$ then $\to a + 2 \to b + 6 \to c$ equals

Q. Let

a, b, c

be three non-zero vectors such that no two of these are collinear. If the vectors

a + 2 b

is collinear with

c

and

b + 3 c

is collinear with

a

(

λ

being some non-zero scalar), then

a + 2 b + 6 c

equals to

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